{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "ee4ad864-d8bf-4a7b-93c2-2cd65e2a6c82",
   "metadata": {},
   "source": [
    "Chapter 20\n",
    "\n",
    "# 轮廓图\n",
    "Book_7《机器学习》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "2155c017-3881-4726-b506-b8eb58a4b458",
   "metadata": {},
   "outputs": [],
   "source": [
    "# ! pip install yellowbrick\n",
    "# ! pip install --upgrade threadpoolctl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f7c71ad9-70a6-4a0f-8ef5-fb62bb5d3c5f",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import datasets\n",
    "from sklearn.cluster import KMeans\n",
    "from yellowbrick.cluster import SilhouetteVisualizer\n",
    "from sklearn.metrics import silhouette_score\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.cm as cm\n",
    "import numpy as np\n",
    "from matplotlib.colors import ListedColormap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "4bb53831-46c2-409c-85f5-8a8d5f2e5874",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create color maps\n",
    "rgb = [[255, 238, 255],  # red\n",
    "       [219, 238, 244],  # blue\n",
    "       [228, 228, 228]]  # black\n",
    "rgb = np.array(rgb)/255.\n",
    "\n",
    "cmap_light = ListedColormap(rgb)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "4f310a80-f701-47b1-8564-b6d34441e799",
   "metadata": {},
   "outputs": [],
   "source": [
    "# import the iris data\n",
    "iris = datasets.load_iris()\n",
    "\n",
    "# Only use the first two features: sepal length, sepal width\n",
    "X = iris.data[:, :2]\n",
    "\n",
    "plot_step = 0.02\n",
    "xx, yy = np.meshgrid(np.arange(4, 8+plot_step, plot_step),\n",
    "                     np.arange(1.5, 4.5+plot_step, plot_step))\n",
    "\n",
    "range_n_clusters = [3, 4, 5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "5f77c3f5-c53e-4f8a-b516-46c054a2d1dc",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\james\\anaconda3\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:1416: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
      "  super()._check_params_vs_input(X, default_n_init=10)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For n_clusters = 3 The average silhouette_score is : 0.4450525692083638\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 800x550 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x550 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For n_clusters = 4 The average silhouette_score is : 0.41863471679551184\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\james\\anaconda3\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:1416: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
      "  super()._check_params_vs_input(X, default_n_init=10)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x550 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x550 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For n_clusters = 5 The average silhouette_score is : 0.41591694093833986\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\james\\anaconda3\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:1416: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
      "  super()._check_params_vs_input(X, default_n_init=10)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x550 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x550 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for n_clusters in range_n_clusters:\n",
    "    # Create a subplot with 1 row and 2 columns\n",
    "    fig, ax= plt.subplots()\n",
    "\n",
    "    kmeans = KMeans(n_clusters=n_clusters, random_state=10)\n",
    "    cluster_labels = kmeans.fit_predict(X)\n",
    "\n",
    "    silhouette_avg = silhouette_score(X, cluster_labels)\n",
    "    print(\"For n_clusters =\", n_clusters,\n",
    "          \"The average silhouette_score is :\", silhouette_avg)\n",
    "\n",
    "    visualizer = SilhouetteVisualizer(kmeans, colors='yellowbrick')\n",
    "    \n",
    "    visualizer.fit(X)\n",
    "    # Fit the data to the visualizer\n",
    "    visualizer.show()\n",
    "    # Finalize and render the figure\n",
    "\n",
    "    # Labeling the clusters\n",
    "    centers = kmeans.cluster_centers_\n",
    "    # Generate mesh\n",
    "\n",
    "    # predict clusters\n",
    "    Z = kmeans.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "    Z = Z.reshape(xx.shape)\n",
    "    \n",
    "    \n",
    "    fig, ax = plt.subplots()\n",
    "    \n",
    "    plt.plot(centers[0,:],centers[1,:],'x')\n",
    "    # plot regions\n",
    "    plt.contourf(xx, yy, Z, cmap=cmap_light)\n",
    "    \n",
    "    # plot sample data\n",
    "    plt.scatter(x=X[:, 0], y=X[:, 1], color=np.array([0, 68, 138])/255., alpha=1.0, \n",
    "                    linewidth = 1, edgecolor=[1,1,1])\n",
    "    \n",
    "    # plot decision boundaries\n",
    "    levels = np.unique(Z).tolist();\n",
    "    plt.contour(xx, yy, Z, levels=levels,colors='r')\n",
    "    \n",
    "    # plot centroids\n",
    "    centroids = kmeans.cluster_centers_\n",
    "    \n",
    "    plt.scatter(centroids[:, 0], centroids[:, 1], marker=\"x\", s=100, linewidths=1.5,\n",
    "                color=\"r\")\n",
    "    ax.set_xticks(np.arange(4, 8.5, 0.5))\n",
    "    ax.set_yticks(np.arange(1.5, 5, 0.5))\n",
    "    ax.set_xlim(4, 8)\n",
    "    ax.set_ylim(1.5, 4.5)\n",
    "    plt.xlabel(iris.feature_names[0])\n",
    "    plt.ylabel(iris.feature_names[1])\n",
    "    ax.grid(linestyle='--', linewidth=0.25, color=[0.5,0.5,0.5])\n",
    "    ax.set_aspect('equal')\n",
    "    plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
